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1980966 = 2313109233
BaseRepresentation
bin111100011101000100110
310201122101010
413203220212
51001342331
6110243050
722560261
oct7435046
93648333
101980966
111133369
127b6486
13544890
14397cd8
15291e46
hex1e3a26

1980966 has 32 divisors (see below), whose sum is σ = 4324320. Its totient is φ = 601344.

The previous prime is 1980949. The next prime is 1980983. The reversal of 1980966 is 6690891.

It is an interprime number because it is at equal distance from previous prime (1980949) and next prime (1980983).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8386 + ... + 8618.

It is an arithmetic number, because the mean of its divisors is an integer number (135135).

21980966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162160).

1980966 is an abundant number, since it is smaller than the sum of its proper divisors (2343354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1980966 is a wasteful number, since it uses less digits than its factorization.

1980966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360.

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1980966 is about 1407.4679392441. The cubic root of 1980966 is about 125.5911413418.

The spelling of 1980966 in words is "one million, nine hundred eighty thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 109 218 233 327 466 654 699 1398 1417 2834 3029 4251 6058 8502 9087 18174 25397 50794 76191 152382 330161 660322 990483 1980966